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hw1 - Homework 1 due Wednesday Note You should explain the...

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Homework 1 due Wednesday, June 29 2011 Note: You should explain the logic behind your calculations to get full credit. 1 In a standard poker deck, there are 52 cards: each of four suits (hearts, diamonds, spades, and clubs) contains 13 denominations (the numbers 2 through 10, a Jack, a King, a Queen, and an Ace). The Jack, Queen, King, and Ace cards function as 11, 12, 13, and 14, respectively, and an Ace can also be used as a 1. For our purposes, a hand consists of a set of five cards from this deck. A hand is said to be a straight if the cards form a sequence of consecutive numbers. A hand is said to be a full house if 3 of the cards have the same denomination and the other two have the same denomination (which is different from the first one), e.g. three Aces and two Jacks. Suppose we add three new cards to the deck – the Ace, 2, and Jack of a new suit, “Cakes.” For each hand, compute only the inclusive probabilities – that is, when counting straights, there is no need to throw out the straights which are also straight flushes.
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